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Finding the Third Proportional to 281,526 and 586,350

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Solution

The third proportional to 281,526 and 586,350 is: 1,221,224.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,526 : 586,350 = 586,350 : x
  2. Step 2: Convert to fraction form
    281,526/586,350 = 586,350/x
  3. Step 3: Cross multiply
    281,526x = 586,350 × 586,350
  4. Step 4: Simplify right side
    281,526x = 343,806,322,500
  5. Step 5: Solve for x
    x = 343,806,322,500/281,526
  6. Step 6: Final answer
    x = 1,221,224.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.